Linear Graphs in Real Life Problems
Linear Graphs in Real Life Problems
TGM Original Questions
A taxi company charges \(\$4\) as the starting price (also known as flag-down rate), and charges at a rate of \(\$1\) per kilometre.
- Andrew takes a taxi from this company. Find the total amount of money spent after
- \(0.5\) km,
- \(3\) km,
- \(7.5\) km.
- Given that \(\$T\) represents the amount of money Andrew spent after \(d\) kilometres, complete the table below.
- On a sheet of graph paper, using a scale of 1 cm to represent \(1\) km on the horizontal axis and \(1\) cm to represent \(\$1\) on the vertical axis, plot the pairs of values of \((d, T)\) given in the above table.
- By drawing a straight line graph through all the points in (iii), find the distance after which Andrew spends more than \(\$10\).
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Answer:(i)(a) \(\text{SGD}\hspace{0.5em}4.50\) (i)(b) \(\text{SGD}\hspace{0.5em}7.00\) (i)(c) \(\text{SGD}\hspace{0.5em}11.50\) (ii) \(T=4.00,4.50,7.00,11.50\) (iii) Graph of \(T=d+4\) (iv) More than \(6\text{ km}\)
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